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Write the first five terms of the geometric sequence given the first term and common ratio. Leave your solutions in fraction form. a_(1)=-6 r=-6 Show your work here Hint:To add an exponent (x^3) type "exponent" or press":"I" a_(1)= a_(2)= a_(3)= a_(4)= a_(5)=

Pergunta

Write the first five terms of the geometric sequence given the first term and common
ratio. Leave your solutions in fraction form.
a_(1)=-6
r=-6
Show your work here
Hint:To add an exponent (x^3) type "exponent" or press":"I"
a_(1)=
a_(2)=
a_(3)=
a_(4)=
a_(5)=

Write the first five terms of the geometric sequence given the first term and common ratio. Leave your solutions in fraction form. a_(1)=-6 r=-6 Show your work here Hint:To add an exponent (x^3) type "exponent" or press":"I" a_(1)= a_(2)= a_(3)= a_(4)= a_(5)=

Solução

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NinaElite · Tutor por 8 anos

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To find the first five terms of the geometric sequence, we can use the formula:<br /><br />$a_n = a_1 \cdot r^{(n-1)}$<br /><br />where $a_n$ is the nth term, $a_1$ is the first term, $r$ is the common ratio, and $n$ is the term number.<br /><br />Given that $a_1 = -6$ and $r = -6$, we can substitute these values into the formula to find the first five terms.<br /><br />$a_1 = -6$<br /><br />$a_2 = a_1 \cdot r = -6 \cdot (-6) = 36$<br /><br />$a_3 = a_2 \cdot r = 36 \cdot (-6) = -216$<br /><br />$a_4 = a_3 \cdot r = -216 \cdot (-6) = 1296$<br /><br />$a_5 = a_4 \cdot r = 1296 \cdot (-6) = -7776$<br /><br />Therefore, the first five terms of the geometric sequence are:<br /><br />$a_1 = -6$<br /><br />$a_2 = 36$<br /><br />$a_3 = -216$<br /><br />$a_4 = 1296$<br /><br />$a_5 = -7776$
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